Search a number
-
+
114131977 is a prime number
BaseRepresentation
bin1101100110110…
…00010000001001
321221202111122021
412303120100021
5213204210402
615154124441
72554051201
oct663302011
9257674567
10114131977
1159474053
1232280721
131a85101b
141122d401
15a046d37
hex6cd8409

114131977 has 2 divisors, whose sum is σ = 114131978. Its totient is φ = 114131976.

The previous prime is 114131971. The next prime is 114131989. The reversal of 114131977 is 779131411.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112126921 + 2005056 = 10589^2 + 1416^2 .

It is a cyclic number.

It is not a de Polignac number, because 114131977 - 211 = 114129929 is a prime.

It is a super-2 number, since 2×1141319772 = 26052216347857058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114131971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57065988 + 57065989.

It is an arithmetic number, because the mean of its divisors is an integer number (57065989).

Almost surely, 2114131977 is an apocalyptic number.

It is an amenable number.

114131977 is a deficient number, since it is larger than the sum of its proper divisors (1).

114131977 is an equidigital number, since it uses as much as digits as its factorization.

114131977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 34.

The square root of 114131977 is about 10683.2568536004. The cubic root of 114131977 is about 485.0678007739.

The spelling of 114131977 in words is "one hundred fourteen million, one hundred thirty-one thousand, nine hundred seventy-seven".